HP 10413 Datasheet Page 263

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263
In addition to the trig functions, there are other functions that take complex
arguments.
ABS(real or complex)
The absolute function, which is found on the
keyboard above the -X key, returns the
absolute value of a real number.
Eg. ABS(-3) returns a value of 3.
When you use the absolute function on a complex number a + bi it returns
the magnitude of the complex number
22
ab+ .
SIGN(real or complex)
This function is part of the Real group but is
very useful with complex numbers and so is
also covered here. If given a vector/complex
number (a,b), SIGN will return another
vector/complex number which is a unit vector
in the direction of (a, b).
i.e. SIGN((A,B)) returns
22 22
,
ab
ab ab


++

This is very useful, not just in complex numbers, but also in vector problems.
See also: SIGN (in the Real group),IM,RE,ARG,CONJ
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